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Finding the Fourth Proportional to 5,986.80, 8,259.21 and 3,627.63

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Solution

The fourth proportional to 5,986.80, 8,259.21 and 3,627.63 is: 5,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.80 : 8,259.21 = 3,627.63 : x
  2. Step 2: Convert to fraction form
    5,986.80/8,259.21 = 3,627.63/x
  3. Step 3: Cross multiply
    5,986.80x = 8,259.21 × 3,627.63
  4. Step 4: Simplify right side
    5,986.80x = 29,961,357.97
  5. Step 5: Solve for x
    x = 29,961,357.97/5,986.80
  6. Step 6: Final answer
    x = 5,004.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.